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Finding the Fourth Proportional to 4,645.70, 6,969.33 and 2,305.82

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Solution

The fourth proportional to 4,645.70, 6,969.33 and 2,305.82 is: 3,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.70 : 6,969.33 = 2,305.82 : x
  2. Step 2: Convert to fraction form
    4,645.70/6,969.33 = 2,305.82/x
  3. Step 3: Cross multiply
    4,645.70x = 6,969.33 × 2,305.82
  4. Step 4: Simplify right side
    4,645.70x = 16,070,020.50
  5. Step 5: Solve for x
    x = 16,070,020.50/4,645.70
  6. Step 6: Final answer
    x = 3,459.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.